Answer:
1. 95/96
2. 27/7
3. -8/245
Explanation:
1. First add together the two fractions 3/4 + 5/6. Find the least common denominator. In this case we can use 12. The 3/4 changes to 9/12 and the 5/6 changes to 10/12. adding these together we get 19/12. Next we divide 8/5 by 19/12. We use the keep, change, flip method to change the divide to multiply. keep the first fraction, change divide into multiply, and then take the reciprocal of the second fraction. You will now do 5/8 x 19/12. We now get 95/96 (I made a mistake in the answers the first time because I was rushing)
2. Divide the 3/2 and the 8/9 first. I will use the KCF (keep, change, flip) method to divide. 3/2 x 9/8 = 27/16 Now we divide the 7/16. After using KCF we can simplify and cross cancel (simplfy after changing the fraction and signs) 27/16 x 16/7 --> 27/1 x 1/7 The answer will come out to be 27/7
3. since there are no parentheses divide first. Use KCF and after you get the answer multiply (it is the same using negative numbers just watch out for signs)
Answer:
The second option will cost her less than the first one.
Step-by-step explanation:
In order to solve this problem we will create two functions to represent the cost of the car in function of the miles drove by her.
For the first option we have:
![cost_1(x) = 0.5*x](https://tex.z-dn.net/?f=cost_1%28x%29%20%3D%200.5%2Ax)
For the second option we have:
![cost_2(x) = 5000 + 0.1*x](https://tex.z-dn.net/?f=cost_2%28x%29%20%3D%205000%20%2B%200.1%2Ax)
Since she intends to drive it for 10,000 miles per year for 6 years, then the total mileage she intends to drive her car is 60,000 miles. Applying this to the formula of each car and we have:
![cost_1(60000) = 0.5*60000 = 30000](https://tex.z-dn.net/?f=cost_1%2860000%29%20%3D%200.5%2A60000%20%3D%2030000)
![cost_2(60000) = 5000 + 60000*0.1 = 11000](https://tex.z-dn.net/?f=cost_2%2860000%29%20%3D%205000%20%2B%2060000%2A0.1%20%3D%2011000)
The second option will cost her less than the first one.
Answer:
(0,2)
Step-by-step explanation:
the point where Oy intercepts the graph has x=0 and y= f(0)
so this is (0,2)
Answer:
$1.98
Step-by-step explanation:
6%=0.06
33*0.06=1.98
Answer: around 1,800 crayons.
Step-by-step explanation:
I think Im correct this time.